A given tensor power of a complex vector space is a direct sum of irreducible modules for the general linear group on that vector space. Each irreducible module has finite, but in general quite large, multiplicity. We describe a reduced version of the tensor power in which each multiplicity is one.
机构:
Waseda Univ, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan
Tech Univ Darmstadt, Fachbereich Math, D-64289 Darmstadt, GermanyWaseda Univ, Dept Math, Shinjuku Ku, Tokyo 1698555, Japan
机构:
Waseda Univ, Sch Sci & Engn, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, JapanWaseda Univ, Sch Sci & Engn, Dept Math Sci, Shinjuku Ku, Tokyo 1698555, Japan